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Finding the Fourth Proportional to 14,641.10, 20,204.70 and 7,926.72

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Solution

The fourth proportional to 14,641.10, 20,204.70 and 7,926.72 is: 10,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.10 : 20,204.70 = 7,926.72 : x
  2. Step 2: Convert to fraction form
    14,641.10/20,204.70 = 7,926.72/x
  3. Step 3: Cross multiply
    14,641.10x = 20,204.70 × 7,926.72
  4. Step 4: Simplify right side
    14,641.10x = 160,156,999.58
  5. Step 5: Solve for x
    x = 160,156,999.58/14,641.10
  6. Step 6: Final answer
    x = 10,938.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.